The number 859
859 is a twin prime (857 and 859 are both prime) and the 149th prime number. Its only divisors are 1 and 859.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 859: a twin prime (857 and 859 are both prime); the 149th prime number.
- 2
859 is prime, so its only factors are 1 and 859. It is the 149th prime; the next prime is 863 and the one before is 857.
- 3
The divisors add up to 860; without 859 itself that is 1, so 859 is deficient (1 is less than 859). Euler's totient φ(859) = 858 numbers up to 859 share no factor with it.
- 4
The digits of 859 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
859 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 860 |
| Euler totient φ(n) | 858 |
| Square | 737881 |
| Cube | 633839779 |
| Square root | 29.308702 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 147 |
| Scientific notation | 8.59 × |
859 in other forms
| Form | Value |
|---|---|
| In words | eight hundred and fifty-nine |
| Roman numerals | DCCCLIX |
| Binary (base 2) | 1101011011 |
| Octal (base 8) | 1533 |
| Hexadecimal (base 16) | 35B |
| Base 3 | 1011211 |
| As time | 859 seconds = 14 min 19 s |
Is 859 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 859 a prime number?
Yes. 859 is divisible only by 1 and itself.
What are the factors of 859?
1, 859.
What is 859 in binary?
1101011011 (hexadecimal 35B, octal 1533).
What is the square root of 859?
About 29.3087.
What is 859 in Roman numerals?
DCCCLIX.
Is 859 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 859?
859 is a twin prime (857 and 859 are both prime); the 149th prime number.